Steinitz exchange lemma
in linear algebra, the theorem that, for any set smaller than a spanning set, there is a set of vectors in the spanning set but missing from the smaller set that can be added to the smaller set to make that set spanning as well
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Steinitz exchange lemma
Summary
Steinitz exchange lemma is a theorem[1]. It draws 131 Wikipedia views per month (theorem category, ranking #202 of 1,306).[2]
Key Facts
- Steinitz exchange lemma's instance of is recorded as theorem[3].
- Ernst Steinitz is named after Steinitz exchange lemma[4].
- Steinitz exchange lemma is part of list of theorems[5].
- Steinitz exchange lemma's studied by is recorded as linear algebra[6].
- Steinitz exchange lemma's maintained by WikiProject is recorded as WikiProject Mathematics[7].
Body
Definition and Type
Steinitz exchange lemma's instance of is recorded as theorem[3].
Origins
Ernst Steinitz is named after Steinitz exchange lemma[4].
Use and Application
Steinitz exchange lemma is part of list of theorems[5].
Why It Matters
Steinitz exchange lemma draws 131 Wikipedia views per month (theorem category, ranking #202 of 1,306).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[8] It is known by 4 alternative names across languages and contexts.[9]